Uniform stability of nonlinear systems with state-dependent delay. (March 2022)

• Record Type: Journal Article
• Authors: Li, Xiaodi; Peng, Dongxue
• Is Part Of: Automatica. Volume 137(2022)
• Publication Date: 2022-03
• Subjects: State-dependent delay -- Uniform stability -- Nonlinear systems -- Lyapunov method -- Fluid-flow model; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.110098
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this paper, we study the uniform stability ( US ) of nonlinear systems with state-dependent delay ( SDD ), where the SDD is not assumed to be a priori bounded since it is dependent on the state of the system. We use some Lyapunov functions coupled with differential inequality techniques tailed at SDD to obtain sufficient conditions for US of nonlinear systems. Two numerical examples and their simulations are given, where one of them is from the fluid-flow model of Transmission Control Protocol ( TCP ) behavior in active queue management ( AQM ) involving state-dependent queuing delay, to demonstrate the effectiveness and novelty of our proposed results.